SOLUTION: i have a question that reads a rental car agency charges $20 per day plus 11 cents per mile to rent a car. another agency charges $27 per day plus 7 cents per mile to rent the s

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: i have a question that reads a rental car agency charges $20 per day plus 11 cents per mile to rent a car. another agency charges $27 per day plus 7 cents per mile to rent the s      Log On


   

Question 58370: i have a question that reads
a rental car agency charges $20 per day plus 11 cents per mile to rent a car. another agency charges $27 per day plus 7 cents per mile to rent the same car. how many miles will have to be driven in one day for the cost of a car from the first agency to equal the cost of a car fromt he second agency.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a rental car agency charges $20 per day plus 11 cents per mile to rent a car. another agency charges $27 per day plus 7 cents per mile to rent the same car. how many miles will have to be driven in one day for the cost of a car from the first agency to equal the cost of a car fromt he second agency.
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Let "x" be the number of miles driven.
1st agency Cost=20+0.11x
2nd agency Cost=27+0.07x
EQUATION:
20+0.11x=27+0.07x
0.04x=7
x=175 miles (number of miles dren when the costs will be equal)
Cheers,
Stan H.